Mr. Everdeen, both in the fandom and in the narrative, has a similar situation to Jack Pearson from This is Us. They were both great husbands and fathers, which due to their tragic and early deaths, have created a sort of halo around the memory of them. This is Us is a family drama and so it takes time to unpack Jack's flaws and how his family idealized him after his death and the audience can analyze his faults for themselves. However, given that THG is a war story and Katniss is our narrator, the information we get about Mr. Everdeen is incredibly biased. He was a hunter and a singer, he wooed a merchant girl so good she followed him to the Seam, and spent his adult life working in the mines. We know he sang at least one rebellious song and taught it to his young daughter, which is perhaps the only indication of a flaw we see and people don't really bring up how much he was putting Katniss in danger as a result. People love to vilify Mrs. Everdeen, Mr. Mellark, and especially Mrs. Mellark (she deserves it) and yet as a result of being dead from the start of the narrative and having our nearly all of the information about him shared through his adoring daughter, we don't see Mr. Everdeen's faults. We don't know how he would have responded to any of the events that happened in the series or what he would have done in a similar situation to Mrs. Everdeen after losing the love of his life and becoming a single parent and then losing his youngest daughter.
I'm not saying Mr. Everdeen was a bad man. I just think that the fandom views him from Katniss's perspective, but he must have had his own faults and weaknesses just like everyone else does, and I'm very interested to think of the flawed man behind the rose-colored memories.